137222193830400
137,222,193,830,400 is an even composite number composed of six prime numbers multiplied together.
137222193830400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137222193830400:
29 × 34 × 52 × 7 × 533 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 53 × 53 × 53 × 127)See below for interesting mathematical facts about the number 137222193830400 from the Numbermatics database.
Names of 137222193830400
- Cardinal: 137222193830400 can be written as One hundred thirty-seven trillion, two hundred twenty-two billion, one hundred ninety-three million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.372221938304 × 1014
Factors of 137222193830400
Divisors of 137222193830400
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 106 108 112 120 126 127 128 135 140 144 150 159 160 162 168 175 180 189 192 200 210 212 216 224 225 240 252 254 256 265 270 280 288 300 315 318 320 324 336 350 360 371 378 381 384 400 405 420 424 432 448 450 477 480 504 508 512 525 530 540 560 567 576 600 630 635 636 640 648 672 675 700 720 742 756 762 768 795 800 810 840 848 864 889 896 900 945 954 960 1008 1016 1050 1060 1080 1113 1120 1134 1143 1152 1200 1260 1270 1272 1280 1296 1325 1344 1350 1400 1431 1440 1484 1512 1524 1536 1575 1590 1600 1620 1680 1696 1728 1778 1792 1800 1855 1890 1905 1908 1920 2016 2025 2032 2100 2120 2160 2226 2240 2268 2286 2304 2385 2400 2520 2540 2544 2560 2592 2650 2667 2688 2700 2800 2809 2835 2862 2880 2968 3024 3048 3150 3175 3180 3200 3240 3339 3360 3392 3429 3456 3556 3584 3600 3710 3780 3810 3816 3840 3975 4032 4050 4064 4200 4240 4293 4320 4445 4452 4480 4536 4572 4608 4725 4770 4800 5040 5080 5088 5184 5300 5334 5376 5400 5565 5600 5618 5670 5715 5724 5760 5936 6048 6096 6300 6350 6360 6400 6480 6678 6720 6731 6784 6858 6912 7112 7155 7200 7420 7560 7620 7632 7680 7950 8001 8064 8100 8128 8400 8427 8480 8586 8640 8890 8904 8960 9072 9144 9275 9450 9525 9540 9600 10017 10080 10160 10176 10287 10368 10600 10668 10752 10800 11130 11200 11236 11340 11430 11448 11520 11872 11925 12096 12192 12600 12700 12720 12800 12960 13335 13356 13440 13462 13568 13716 13824 14045 14175 14224 14310 14400 14840 15120 15240 15264 15900 16002 16128 16200 16256 16695 16800 16854 16960 17145 17172 17280 17780 17808 17920 18144 18288 18550 18900 19050 19080 19200 19663 20034 20160 20193 20320 20352 20574 20736 21200 21336 21465 21600 22225 22260 22400 22472 22680 22860 22896 23040 23744 23850 24003 24192 24384 25200 25281 25400 25440 25920 26670 26712 26880 26924 27136 27432 27825 28090 28350 28448 28575 28620 28800 29680 30051 30240 30480 30528 31800 32004 32256 32400 32512 33390 33600 33655 33708 33920 34290 34344 34560 35560 35616 35775 36288 36576 37100 37800 38100 38160 38400 39326 40005 40068 40320 40386 40640 40704 41148 41472 42135 42400 42672 42930 43200 44450 44520 44800 44944 45360 45720 45792 47117 47488 47700 48006 48384 48768 50085 50400 50562 50800 50880 51435 51840 53340 53424 53760 53848 54864 55650 56180 56700 56896 57150 57240 57600 58989 59360 60102 60480 60579 60960 61056 63600 64008 64800 65024 66675 66780 67200 67310 67416 67840 68580 68688 69120 70225 71120 71232 71550 72009 72576 73152 74200 75600 75843 76200 76320 78652 80010 80136 80640 80772 81280 81408 82296 83475 84270 84800 85344 85725 85860 86400 88900 89040 89600 89888 90720 91440 91584 94234 94976 95400 96012 96768 97536 98315 100170 100800 100965 101124 101600 101760 102870 103680 106680 106848 107325 107696 109728 111300 112360 113400 113792 114300 114480 115200 117978 118720 120015 120204 120960 121158 121920 122112 126405 127200 128016 129600 133350 133560 134400 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196031705472 203292139008 204199693200 211762644800 214409677860 215758166400 216097943040 217813006080 228703656384 238232975400 242014451200 245039631840 254115173760 258909799680 261375607296 268012097325 270122428800 272266257600 285879570480 287677555200 304938208512 306299539800 317643967200 323637249600 326719509120 338820231680 343055484576 357349463100 360163238400 363021676800 369871142400 381172760640 392063410944 408399386400 423525289600 428819355720 431516332800 435626012160 457407312768 476465950800 490079263680 508230347520 517819599360 536024194650 540244857600 544532515200 571759140960 609876417024 612599079600 635287934400 647274499200 653439018240 686110969152 714698926200 726043353600 762345521280 784126821888 816798772800 847050579200 857638711440 863032665600 914814625536 952931901600 980158527360 1016460695040 1072048389300 1080489715200 1089065030400 1143518281920 1225198159200 1270575868800 1294548998400 1306878036480 1372221938304 1429397852400 1524691042560 1633597545600 1694101158400 1715277422880 1829629251072 1905863803200 1960317054720 2144096778600 2178130060800 2287036563840 2450396318400 2541151737600 2589097996800 2744443876608 2858795704800 3049382085120 3267195091200 3430554845760 3811727606400 3920634109440 4288193557200 4574073127680 4900792636800 5082303475200 5488887753216 5717591409600 6534390182400 6861109691520 7623455212800 8576387114400 9148146255360 9801585273600 11435182819200 13722219383040 15246910425600 17152774228800 19603170547200 22870365638400 27444438766080 34305548457600 45740731276800 68611096915200 137222193830400
- Sum of all divisors σ(n): 596242232340480
- Sum of proper divisors (its aliquot sum) s(n): 459020038510080
- 137222193830400 is an abundant number, because the sum of its proper divisors (459020038510080) is greater than itself. Its abundance is 321797844679680
Bases of 137222193830400
- Binary: 111110011001101100010000001111001011010000000002
- Hexadecimal: 0x7CCD881E5A00
- Base-36: 1CN3078G00
Squares and roots of 137222193830400
- 137222193830400 squared (1372221938304002) is 18829930479627867823964160000
- 137222193830400 cubed (1372221938304003) is 2583884370088452117001481429622718464000000
-
The
square root of 137222193830400 is 11714187.7153475733 -
The
cube root of 137222193830400 is 51579.2218776303
Scales and comparisons
How big is 137222193830400?- 137,222,193,830,400 seconds is equal to 4,363,241 years, 16 weeks.
-
To count from 1 to 137,222,193,830,400 would take you about ten million, nine hundred eight thousand, one hundred three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137222193830400 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137222193830400
- 137222193830400 backwards is 004038391222731
- 137222193830400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137222193830400's digits is 45
- More coming soon!
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"Number 137222193830400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 137222193830400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137222193830400/
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The information we have on file for 137222193830400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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